Fixed Point Theory and Applications 
Volume 2007 (2007), Article ID 90715, 11 pages
doi:10.1155/2007/90715
Research Article

A Dual of the Compression-Expansion Fixed Point Theorems

Richard Avery,1 Johnny Henderson,2 and Donal O'Regan3

 1College of Arts and Sciences, Dakota State University, Madison, SD 57042, USA
2Department of Mathematics, Baylor University, Waco, TX 76798, USA
3Department of Mathematics, National University of Ireland, Galway, Ireland
Received 5 June 2007; Accepted 11 September 2007

Recommended by William Art Kirk

Abstract

This paper presents a dual of the fixed point theorems of compression and expansion of functional type as well as the original Leggett-Williams fixed point theorem. The multi-valued situation is also discussed.